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13102648140 = 22351971161881
BaseRepresentation
bin11000011001111101…
…01000101101001100
31020211010221111020110
430030332220231030
5203313234220030
610004055120020
7642460446231
oct141476505514
936733844213
1013102648140
11561411552a
122658073010
13130a73194a
148c4249788
1551a47b1b0
hex30cfa8b4c

13102648140 has 96 divisors (see below), whose sum is σ = 39162493440. Its totient is φ = 3263500800.

The previous prime is 13102648127. The next prime is 13102648177. The reversal of 13102648140 is 4184620131.

13102648140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13102648140 is a nontrivial binomial coefficient, being equal to C(161881, 2).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13102648098 and 13102648107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1 + ... + 161880.

It is an arithmetic number, because the mean of its divisors is an integer number (407942640).

Almost surely, 213102648140 is an apocalyptic number.

13102648140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13102648140 is the 161880-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102648140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19581246720).

13102648140 is an abundant number, since it is smaller than the sum of its proper divisors (26059845300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13102648140 is a wasteful number, since it uses less digits than its factorization.

13102648140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161983 (or 161981 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 13102648140 in words is "thirteen billion, one hundred two million, six hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 71 76 95 114 142 190 213 228 284 285 355 380 426 570 710 852 1065 1140 1349 1420 2130 2698 4047 4260 5396 6745 8094 13490 16188 20235 26980 40470 80940 161881 323762 485643 647524 809405 971286 1618810 1942572 2428215 3075739 3237620 4856430 6151478 9227217 9712860 11493551 12302956 15378695 18454434 22987102 30757390 34480653 36908868 45974204 46136085 57467755 61514780 68961306 92272170 114935510 137922612 172403265 184544340 218377469 229871020 344806530 436754938 655132407 689613060 873509876 1091887345 1310264814 2183774690 2620529628 3275662035 4367549380 6551324070 13102648140